Assume that random guesses are made for eight multiple choice questions on an SAT test,and each question has 4 different choices. We are interested in the number of correct answer out of 8 questions. Answer the following questions.

1.The random variable:x=

a.the number of correct answers out of 8

b.the number of incorrect answers out of 8

c.the number of choices in each question

d.the number of questions

2.Possible values for x are:

a.1,2,3,4

b.1,2,3,4,5,6,7,8

c.0,1,2,3,4,5,6,7,8

d.0,1,2,3,4

3.The number of successes are:

a.the number of correct answers out of 8

b.the number of incorrect answers out of 8

c.the number of choices in each question

d.the number of questions

4.The number of failures are:

a.the number of correct answers out of 8

b.the number of incorrect answers out of 8

c.the number of choices in each question

d.the number of questions

5.Probability of success for each question: p =

a.1/8

b.2/8

c.7/8

d.6/8

6.Probability of failure for each question: q =

a.1/8

b.2/8

c. 7/8

d.6/8

7.The number of trials: n =

a. 8

b. 4

c. 1

d. 32

8.Is this a binomial distribution? why?